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Finding the Third Proportional to 863,189 and 1,306,777

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Solution

The third proportional to 863,189 and 1,306,777 is: 1,978,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,189 : 1,306,777 = 1,306,777 : x
  2. Step 2: Convert to fraction form
    863,189/1,306,777 = 1,306,777/x
  3. Step 3: Cross multiply
    863,189x = 1,306,777 × 1,306,777
  4. Step 4: Simplify right side
    863,189x = 1,707,666,127,729
  5. Step 5: Solve for x
    x = 1,707,666,127,729/863,189
  6. Step 6: Final answer
    x = 1,978,322.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.